Finding the Fourth Proportional to 1,586.61, 2,189.33 and 923.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,586.61 : 2,189.33 = 923.58 : x
2. Step 2: Convert to fraction form
   1,586.61/2,189.33 = 923.58/x
3. Step 3: Cross multiply
   1,586.61x = 2,189.33 × 923.58
4. Step 4: Simplify right side
   1,586.61x = 2,022,016.78
5. Step 5: Solve for x
   x = 2,022,016.78/1,586.61
6. Step 6: Final answer
   x = 1,274.43